2 problems

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Conjecture on the asymptotic mean exit time for Kesten's stochastic recurrence equation
Exit-time conjecture.
Conjectureopenexit-times random-matrices stochastic-recurrence-equationsarXiv posted 2 days ago
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Conjecture on lighter-than-power-law tails for affine recursions
Let $\mathbf{A}$ be a random matrix and $\mathbf{B}$ a random vector. Say that both $\mathbf{A}$ and $\mathbf{B}$ have tails lighter than the power-law distribution of index…
Conjectureopenheavy-tails random-matrices stochastic-recurrence-equationsarXiv posted 2 days ago

Conjecture on the asymptotic mean exit time for Kesten's stochastic recurrence equation